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Finding the Fourth Proportional to 13,169.11, 18,185.50 and 8,461.60

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Solution

The fourth proportional to 13,169.11, 18,185.50 and 8,461.60 is: 11,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.11 : 18,185.50 = 8,461.60 : x
  2. Step 2: Convert to fraction form
    13,169.11/18,185.50 = 8,461.60/x
  3. Step 3: Cross multiply
    13,169.11x = 18,185.50 × 8,461.60
  4. Step 4: Simplify right side
    13,169.11x = 153,878,335.87
  5. Step 5: Solve for x
    x = 153,878,335.87/13,169.11
  6. Step 6: Final answer
    x = 11,684.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.